WEIGHTED COMPOSITION OPERATORS BETWEEN GROWTH SPACES OF THE UPPER HALF-PLANE

被引：0

作者：

Stevic, Stevo ^{[1
]}

Sharma, Ajay K. ^{[2
]}

机构：

[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia

[2] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, Jammu & Kashmir, India

来源：

UTILITAS MATHEMATICA | 2011年 / 84卷

关键词：

Weighted composition operator; growth space; boundedness; compactness; upper half-plane; BLOCH-TYPE SPACES; GENERALIZED COMPOSITION OPERATORS; UNIT BALL; ANALYTIC-FUNCTIONS; H-INFINITY; BERGMAN SPACES; BANACH-SPACES; HARDY-SPACES; NORM; ISOMETRIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let psi be a holomorphic map of the upper half-plane Pi(+) and phi be a holomorphic self-map of Pi(+). We characterize bounded weighted composition operators acting between growth spaces of the upper half-plane. Under some conditions on phi and psi, we also characterize compact weighted composition operators between growth spaces of the upper half-plane.

引用

页码：265 / 272

页数：8

共 31 条

[1] BIDUALS OF WEIGHTED BANACH-SPACES OF ANALYTIC-FUNCTIONS [J].